document.write( "Question 309424: A plane averaged 158 km/h. On the returned trip the plane only averaged 112 km/h. While flying back into the same wind, find the speed of the wind and of the plane in still air. \n" ); document.write( "
Algebra.Com's Answer #221305 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A plane averaged 158 km/h. On the returned trip the plane only averaged 112 km/h. \n" ); document.write( " While flying back into the same wind, \n" ); document.write( " find the speed of the wind and of the plane in still air. \n" ); document.write( ": \n" ); document.write( "Let s = speed of the plane in still air \n" ); document.write( "Let w = speed of the wind \n" ); document.write( "From the given information we can write two equation \n" ); document.write( "s + w = 158 \n" ); document.write( "s - w = 112 \n" ); document.write( "-------------Addition eliminates w, find s \n" ); document.write( "2s = 270 \n" ); document.write( "s = 135 km/hr in still air \n" ); document.write( "Find w \n" ); document.write( "135 + w = 158 \n" ); document.write( "w = 158 - 135 \n" ); document.write( "w = 23 km/hr is the wind \n" ); document.write( ": \n" ); document.write( "Check in \"against the wind\" equation \n" ); document.write( "135 - 23 = 112 \n" ); document.write( " \n" ); document.write( " |